IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i4p358-d224384.html
   My bibliography  Save this article

A Fast and Robust Spectrogram Reassignment Method

Author

Listed:
  • Vittoria Bruni

    (Department of Basic and Applied Sciences for Engineering, University of Rome La Sapienza, via Antonio Scarpa 16, 00161 Rome, Italy
    Institute for the Applications of Calculus, National Research Council, via dei Taurini 19, 00185 Rome, Italy)

  • Michela Tartaglione

    (Department of Basic and Applied Sciences for Engineering, University of Rome La Sapienza, via Antonio Scarpa 16, 00161 Rome, Italy)

  • Domenico Vitulano

    (Institute for the Applications of Calculus, National Research Council, via dei Taurini 19, 00185 Rome, Italy)

Abstract

The improvement of the readability of time-frequency transforms is an important topic in the field of fast-oscillating signal processing. The reassignment method is often used due to its adaptivity to different transforms and nice formal properties. However, it strongly depends on the selection of the analysis window and it requires the computation of the same transform using three different but well-defined windows. The aim of this work is to provide a simple method for spectrogram reassignment, named FIRST (Fast Iterative and Robust Reassignment Thinning), with comparable or better precision than classical reassignment method, a reduced computational effort, and a near independence of the adopted analysis window. To this aim, the time-frequency evolution of a multicomponent signal is formally provided and, based on this law, only a subset of time-frequency points is used to improve spectrogram readability. Those points are the ones less influenced by interfering components. Preliminary results show that the proposed method can efficiently reassign spectrograms more accurately than the classical method in the case of interfering signal components, with a significant gain in terms of required computational effort.

Suggested Citation

  • Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2019. "A Fast and Robust Spectrogram Reassignment Method," Mathematics, MDPI, vol. 7(4), pages 1-20, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:358-:d:224384
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/4/358/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/4/358/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2020. "A Signal Complexity-Based Approach for AM–FM Signal Modes Counting," Mathematics, MDPI, vol. 8(12), pages 1-33, December.
    2. Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2021. "A pde-Based Analysis of the Spectrogram Image for Instantaneous Frequency Estimation," Mathematics, MDPI, vol. 9(3), pages 1-26, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:358-:d:224384. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.